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2208808064 = 27192274001
BaseRepresentation
bin1000001110100111…
…1011110010000000
312200221021002001002
42003221323302000
514010423324224
61003102231132
7105510362441
oct20351736200
95627232032
102208808064
11a338a6211
125178854a8
132927c6828
1416d4d12c8
15cddab9ae
hex83a7bc80

2208808064 has 64 divisors (see below), whose sum is σ = 4653525600. Its totient is φ = 1041408000.

The previous prime is 2208808057. The next prime is 2208808067. The reversal of 2208808064 is 4608088022.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (2208808067) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 550064 + ... + 554064.

Almost surely, 22208808064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2208808064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2326762800).

2208808064 is an abundant number, since it is smaller than the sum of its proper divisors (2444717536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2208808064 is a wasteful number, since it uses less digits than its factorization.

2208808064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4261 (or 4249 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 38.

The square root of 2208808064 is about 46997.9580833040. The cubic root of 2208808064 is about 1302.3248466033.

The spelling of 2208808064 in words is "two billion, two hundred eight million, eight hundred eight thousand, sixty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 227 304 454 608 908 1216 1816 2432 3632 4001 4313 7264 8002 8626 14528 16004 17252 29056 32008 34504 64016 69008 76019 128032 138016 152038 256064 276032 304076 512128 552064 608152 908227 1216304 1816454 2432608 3632908 4865216 7265816 9730432 14531632 17256313 29063264 34512626 58126528 69025252 116253056 138050504 276101008 552202016 1104404032 2208808064